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Need help with integrals from LandauLifshitz vol. 1 problems 
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#1
Mar1112, 09:17 AM

P: 2

Hi!
I'm new to this forum and forums in general, so please be forgiving. I am currently going through problems in LandauLifgarbagez's vol. 1 (Mechanics) and encountered two integrals I can't solve. The physical basis of the problem is crystal clear, but I can't do the final computation. The integrals are from problem 2 (b,c) par. 11. Mathematica spits out correct answers, so I won't post the full problem and will only post integrals I'm having problems with. The first one is: [itex]\int_{1}^{a}\frac{dz}{z \sqrt{z^{2}  1}\sqrt{a^{2}  z^{2}}}[/itex]; here [itex]z[/itex] and [itex]a>1[/itex] are assumed to be real. The other one is: [itex]\int_{0}^{a}\frac{dz}{(1 + z^{2})\sqrt{a^{2}  z^{2}}}[/itex]. [itex]z[/itex] and [itex]a[/itex] are also assumed to be real. Thank you! 


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